Greatest Common Factor of 286/896, 227/456, 812/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/896, 227/456, 812/802

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 286/896,227/456,812/802

Given fractions are 286/896,227/456,812/802

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 286,227,812

Greatest Common Factor of Numerators i.e. GCF of 286,227,812 is 1 .

LCM of Denominators means LCM of 896,456,802 as per the given fractions.

LCM of 896,456,802 is 20479872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,227,812

GCF of Fractions 286/896,227/456,812/802 is 1/20479872

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 286,227,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,227,812 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 286,227,812 . The biggest common factor number is the GCF number.
So the greatest common factor 286,227,812 is 1.

Lets's calculate LCM of 896,456,802

2 896, 456, 802
2 448, 228, 401
2 224, 114, 401
112, 57, 401

∴ So the LCM of the given numbers is 2 x 2 x 2 x 112 x 57 x 401 = 20479872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20479872

Therefore, the GCF of Fractions 286/896,227/456,812/802 is 1/20479872

Least Common Multiple of 896,456,802 with GCF Formula

Least Common Multiple of 896,456,802 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 896,456,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,456,802) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(896,456,802) x common factors =2 x 8 = 16

LCM(896,456,802) = ( 896 × 456 × 802 ) / 16

LCM(896,456,802) = 327677952 / 16

LCM(896,456,802) = 20479872


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 286/896, 227/456, 812/802

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 286/896, 227/456, 812/802?

Answer: GCF of Numerators as per given numbers 286/896, 227/456, 812/802 is

GCF of Numerators i.e. for 286,227,812 is 1

LCM of denominators i.e. for 896,456,802 is 20479872.

Thus, GCF of Fractions is 1/20479872.Finally, GCF of Fractions for 286/896, 227/456, 812/802 is 1/20479872.